Valley made a rectangular sandbox. It is 8 feet long and 10 feet wide. She fills it 2 feet high with sand how much sand is in the sandbox

A bar chart or box plot would be the most appropriate graphical representation to display the given data. The correct option is A.

The best graphical representation to display the given data would be a bar chart, also known as a bar graph.

A bar chart is a graph that represents categorical data with rectangular bars, where the height or length of each bar corresponds to the frequency or relative frequency of the category. In this case, the categories are the types of items purchased (Health & Medicine, Beauty, Household, and Grocery), and the frequency is the number of purchases in each category.

A box plot would not be appropriate for this data because it is not numerical data and cannot be separated into quartiles or percentiles. A line plot would also not be appropriate because it is used to display individual data points rather than grouped data.

A histogram would not be appropriate because it is used to display continuous numerical data rather than categorical data. A stem-and-leaf plot would not be appropriate because it is also used to display numerical data.

Therefore, a bar chart would be the most appropriate graphical representation to display the given data.

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Step-by-step explanation:

8x² -5x + 8 +(-2x² -8x + 3)

8x² -5x +8 -2x² - 8x +3

8x² -2x² -5x -8x +8 +3

6x² -13x +11

Answer:

y-8

Step-by-step explanation:

count from point b to b'

Answer: y - 8

Step-by-step explanation:

Point A prime is 8 units below Point A, as goes for each of the other corresponding point pairs. (B and B prime, C and C prime)

Answer:

AT LEAST 40 STUDENTS

Step-by-step explanation:

first make an expression to represent the zoo and museum cost.

( x represents the number of students)

zoo: 10x +100

museum: 5x+250

second plug in numbers of students until you find the answer: at least 40 students

Answer:

56

Step-by-step explanation:

Answer:

Answer below!

Step-by-step explanation:

since y = -3x + 1, you can just plug those numbers in on the first equation.

6x + 2(-3x+1) = 2 (see how I replaced y into -3x + 1)

then distribute 2.

6x - 6x + 2 = 2, subtract 2 to both sides

6x - 6x = 0, combine x

0 = 0 (this means it has an infinite amount of solutions)

Answer: 2

Step-by-step explanation:

The mode is the most frequent number that appears. The number 2 appears the most so 2 would be the mode for this problem.

The boat travels at  18 miles per hour.

What is speed?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed.

The rate at which an object travels a certain distance can be described using the speed formula. The distance that a body travels in a certain amount of time is a common way to measure speed.

Given:  A boat travels 30 miles up the river in the same amount of time it takes to travel 42 miles down the same river. The current is 3 miles per hour.

From the above information we can write,

Let, u is the boat speed in still water, then

\(\frac{30}{u-3} = \frac{42}{u+3}\)

Taking cross multiplication,

30(u + 3) = 42(u - 3)

Solving,

30u + 90 = 42u - 126

42u - 30u -126 -90 = 0

12u = 216

u = 18

Therefore, the speed of boat in still water is, 18 miles per hour.

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Answer:

x= 1/12y - 1/4

Step-by-step explanation:

12x + 3 = y

12x = y -3

x= 1/12y - 1/4

x=1/12y - 1/4

The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

Yes

Step-by-step explanation:

If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.

4 x 8 = 32

32 + 8 = 40

That gives her time to edit and revise :)

Hope this makes sense

Answer:

d. solve for 'y' in the second equation

The first step is to solve for 'y' after that you will substitute it in the next step ie when using substitution method.

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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Since the function g is given in three equivalent forms, a form which most quickly reveals the vertex is: C. g(x) = 3(x + 1)² - 12.

The vertex is equal to (-1, -12).

In this exercise, you are required to determine and select the vertex form of a function g that is written in three equivalent forms. Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

Based on the information provided, we can reasonably infer and logically deduce that a mathematical expression which quickly reveals the vertex of the quadratic equation is given by g(x) = 3(x + 1)² - 12.

Since the directrix is horizontal, the axis of symmetry would be vertical. Additionally, the distance (a) from directrix to vertex on the axis of symmetry is equal to 3.

In conclusion, the vertex of this quadratic equation is given by the ordered pair (-1, -12).

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Answer:

P = 16x+26y units

Step-by-step explanation:

Let the length is (x+8y) units

Width = (8x-x+5y) units

We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.

P = 2[(x+8y) + (8x-x+5y)]

= 2[(8x+8y+5y)]

= 2[8x+13y]

= 16x+26y

Hence, the required perimeter is 16x+26y.

Answer:

Step-by-step explanation:

18

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

In this question, number 0.75 is equal to 0.75, 7100 is neither equal to 0.75 nor to 7100.

0.75: This number is equal to 0.75, as it matches the value exactly.

7100: This number is neither equal to 0.75 nor to 7100. It is a different value altogether.

Other: This category includes any number that is not equal to 0.75 or 7100. It could be any other number, positive or negative, fractional or whole, but it is not specifically equal to 0.75 or 7100.

By categorizing the numbers into "Equal to 0.75," "Equal to 7100," and "Other," we can determine whether each number matches one of the given values or is something different.

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The answer of the given question based on the graph is ,  the equation of line q could be y = 2a(x + 1) + b, which is option (c).

An equation is mathematical statement that shows equality between two expressions using equals sign (=). Equations are used to represent wide variety of relationships in mathematics and sciences, like describing the behavior of physical systems, solving problems in engineering and economics, or modeling natural phenomena.

To determine the equation of line q, we need to find the slope of line p, which is a, and the y-intercept of line p, which is b.

From the equation of line p, y = ax + b, we know that the slope of line p is a, and the y-intercept of line p is b.

To find the slope of line p, we can use the coordinates of points p(1, -2) and q(-1, -4) as follows:

a = (y2 - y1)/(x2 - x1) = (-4 - (-2))/(-1 - 1) = -1

Therefore, the slope of the line p is -1.

To find the y-intercept of line p, we can use the coordinates of point p(1, -2) as follows:

y = ax + b

-2 = (-1)(1) + b

b = -1

Therefore, the y-intercept of line p is -1.

Now we can substitute the values of a and b into the equation of each option to see which one could be the equation of line q.

(a) y = −2a(x − 1) + b

y = -2(-1)(-1-1)+(-1) = -3

This point does not lie on line q, so this equation cannot be the equation of line q.

(b) y = −2a(x + 1) + b

y = -2(-1)(-1+1)+(-1) = -1

This point does not lie on line q, so this equation cannot be the equation of line q.

(c) y = 2a(x + 1) + b

y = 2(-1)(-1+1)+(-1) = -1

This point does lie on line q, so this equation could be the equation of line q.

(d) y = -2ax+b+1

y = -2(-1)(-1)+(-1)+1 = 1

This point does not lie on line q, so this equation cannot be the equation of line q.

Therefore, the equation of line q could be y = 2a(x + 1) + b, which is option (c).

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Answer: 3rd down :D

Step-by-step explanation:

This is because the problem is asking for Q to be in the middle of B and N and the only answer that applys to this is 3 :D.

Answer:

\( \frac{88}{7} units\)

Step-by-step explanation:

Circumference of semi-circle=

\(\pi \: r\)

\( \frac{22}{7} \times 4 \\ \frac{88}{7} \)

a. The probability that exactly 125 km of track need to be tested before a defect is found is approx 0.005186, or about 0.52%,

b. Before a defect is discovered, 100 1-km segments of railroad track need to be tested.

a. To compute the probability that exactly 125 km of track need to be tested before a defect is found, we can use the geometric distribution. The geometric distribution models the number of independent and identically distributed trials needed to achieve the first success. In this case, a success is finding a defective 1-km segment of track.

The probability of finding a defect on any given 1-km segment is 0.01, so the probability of not finding a defect on any given segment is 0.99. Therefore, the probability of finding the first defect on the 125th 1-km segment tested is:

P(X = 125) = (0.99)^124 * 0.01

Where X is the number of 1-km segments tested before the first defect is found.

Using a calculator, we can evaluate this probability to be approximately 0.005186, or about 0.52%.

b. The expected value of the geometric distribution is given by:

E(X) = 1/p

Where p is the probability of success on any given trial. In this case, p = 0.01, so:

E(X) = 1/0.01 = 100

Therefore, on average, 100 1-km segments of railroad track need to be tested before a defect is found.

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Given the 4-column table with 3 rows shows the conditional relative frequencies of a set of data comparing gender and whether an academic scholarship was earned. The first column has no label with entries male, female, total. The second column is labeled scholarship with entries 0.47, 0.52, 0.495.

The third column is labeled no scholarship with entries 0.53, 0.48, 0.505. The fourth column is labeled total with entries 1, 1, 1. Now, let's see which conclusion can be drawn from the table:There is an association between gender and scholarship earned because each row adds to 1. Therefore, option B: "There is an association between gender and scholarship earned because each row adds to 1" is the correct conclusion that can be drawn from the given table.In a frequency distribution table, when the sum of conditional relative frequencies in each row is not equal to 1, we cannot conclude any association between the two variables.

But when it is 1 in each row, it shows the conditional relative frequencies of a variable that correspond to each value of another variable. Hence, we can say there is an association between the two variables.

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Answer:

2√6(Decimal: 4.898979)

Step-by-step explanation:

−9√24+2√600

=2√6(Decimal: 4.898979)

Answer:

13

Step-by-step explanation:

The gcf of 26 and 39 is 13

SOLUTION

Let us make a graph of the function

This is shown below

(a) The domain is usually determined from the x-axis. From the graph, the domain is all real numbers, that is, it is infinite for both positive and negative values for x, as you can see that if the graph is extended, there is no limit for x-values that it can contain. So the domain is (-infinity, infinity)

Hence the answer, Domain is

(-inf, inf)

(b)

In

Hence, the answer is -2

(c)

In

Hence, the answer is 1

(d)

In

Hence, the answer is -1

(e)

In

Hence, the answer is -3

Answer:

A)Rhombus

Lollllllllll

Answer:

A

Step-by-step explanation:

Squares have 90 degree angles, not 60.

Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.

An example of a shock add is Poking fun at events

By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.

The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.

These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.

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Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation: